1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snezhnost [94]
3 years ago
11

Solve for the values of x in the equation: 2^(x) = 4x.

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0

There are two of them. 

I don't know a mechanical way to 'solve' for them.

One can be found by trial and error:

x=0 . . . . . 2^0 = 1 . . . . . 4(0) = 0 . . . . . no, that doesn't work
x=1 . . . . . 2^1 = 2 . . . . . 4(1) = 4 . . . . . no, that doesn't work
x=2 . . . . . 2^2 = 4 . . . . . 4(2) = 8 . . . . . no, that doesn't work
x=3 . . . . . 2^3 = 8 . . . . . 4(3) = 12 . . . . no, that doesn't work
<em>x=4</em> . . . . . 2^4 = <em><u>16</u></em> . . . . 4(4) = <em><u>16</u></em> . . . . Yes !  That works !       yay !

For the other one, I constructed tables of values for 2^x and (4x)
in a spread sheet, then graphed them, and looked for the point
where the graphs of the two expressions cross.

The point is near, but not exactly,         <em>x = 0.30990693...

</em>
If there's a way to find an analytical expression for the value, it must involve
some esoteric kind of math operations that I didn't learn in high school or
engineering school, and which has thus far eluded me during my lengthy
residency in the college of hard knocks.<em> </em> If anybody out there has it, I'm
waiting with all ears.<em>

</em>
Andreyy893 years ago
4 0
2^{x} = 4x \\ln(2^{x}) = ln(4x) \\\frac{xln(2)}{ln(2)} = \frac{ln(4x)}{ln(2)} \\x = 4
You might be interested in
Some please help it urgent
Phoenix [80]

Answer: y axis = 20 x axis = 430

Step-by-step explanation: YOU´RE STUPID

8 0
3 years ago
What's the reciprocal of 6⁄5
Alik [6]

Answer:

5/6

Step-by-step explanation:

the reciprocal of any fraction is the fraction flipped

8 0
3 years ago
Read 2 more answers
I need help with This question
cupoosta [38]

Answer:

45% chance

Step-by-step explanation:

in the middle of 30% and 60% is 45 and that is the % chance it will rain on both days

5 0
3 years ago
Please solve these questions on the topic of exponents
galina1969 [7]

Answer/Step-by-step explanation:

Recall: x^{-a} = \frac{1}{x^a}

a. 4^{-3} = \frac{1}{4^3} = \frac{1}{64}

b. 13^{-2} = \frac{1}{13^2} = \frac{1}{169}

c. (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9}

6 0
3 years ago
Determine the intercepts of the line.<br> x-intercept: (_,_)<br> y-intercept: (_,_)
BabaBlast [244]

Answer:

x int(-7.5, 0)

y int (0, 5.5)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which ratio represents sin A? a) 8/17 b) 15/17 c) 17/15 d) 17/8
    5·2 answers
  • Sam is 27 years old. His age is 6 years greater than 3 times Brandon's age. Which method
    13·1 answer
  • FOR 100 POINTS!!!!!!!!!!!<br><br>Solve the equation. <br><br><br>3(4x + 4) = 2(5x + 9) - 12
    6·2 answers
  • Help me on what is meant by 2cm to represent 1unit on the graph and give me examples.
    9·1 answer
  • 2 times 4 squared................
    8·2 answers
  • What is true about Kira’s data collection ?
    6·2 answers
  • Please give me a hand
    13·2 answers
  • Given the triangle select all the correct
    5·1 answer
  • Give your answer in correct number of significant figures: (4.0 x 102 ) (0.04) / 7.2​
    10·2 answers
  • Find the value of x.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!